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soldier1979 [14.2K]
1 year ago
9

Determine if you UTV and RQS are similar if so right the similarities statement

Mathematics
1 answer:
Ahat [919]1 year ago
5 0

Based on the given triangles, let's check if they satisfy the SSS congruence. To prove that we have SSS congruence for triangles UTV and RQS, the sides must have equal proportions. Let's check the ratio for UT to RQ, TV to QS, and VU to SR. We have the following

\begin{gathered} \frac{UT}{RQ}=\frac{70}{25}=\frac{14}{5} \\ \frac{TV}{QS}=\frac{42}{15}=\frac{14}{5} \\ \frac{VU}{SR}=\frac{84}{30}=\frac{14}{5} \end{gathered}

All side ratio has the same value, hence, triangle UTV and triangle RQS are congruent based on SSS congruence.

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The amount c in grams of a 100 gram sample of carbon-14 remaining after t years is represented by the equation c= 100 (0.99988)t
tigry1 [53]

Answer: The amount of carbon-14 remaining after 4 years is 99.95 grams.

Step-by-step explanation:

Hi, to answer this question we simply have to substitute t=4 in the equation given and solve for c.

c= 100 (0.99988)^t

c =100 (0.99988)^4

c = 100 x 0.999520086

c= 99.95200864 ≅99.95 grams (rounded)

The amount of carbon-14 remaining after 4 years is 99.95 grams.

Feel free to ask for more if needed or if you did not understand something.

8 0
3 years ago
AB is a diameter of a circle, center O. C is a point on the circumference of the circle, such that
Solnce55 [7]

Given:

AB is the diameter of a circle.

m∠CAB = 26°

To find:

The measure of m∠CBA.

Solution:

Angle formed in the diameter of a circle is always 90°.

⇒ m∠ACB = 90°

In triangle ACB,

Sum of the angles in the triangle = 180°

m∠CAB + m∠ACB + m∠CBA = 180°

26° + 90° + m∠CBA = 180°

116° + m∠CBA = 180°

Subtract 116° from both sides.

116° + m∠CBA - 116° = 180° - 116°

m∠CBA = 64°

The measure of m∠CBA is 64°.

7 0
4 years ago
This is due tomorrow and i have answers but i think ive done it wrong! please help
Eva8 [605]

Answer:  i) 1 - 9x² - 12x

               ii) 17 - 3x²

             iii) - 20 + 10x² - x⁴

<u>Step-by-step explanation:</u>

g(x) = 3x + 2       h(x) = 5 - x²

i) h(g(x))

  h(3x + 2) = 5 - (3x + 2)²

                  = 5 - (9x² + 12x + 4)

                  = 5 - 9x² - 12x - 4

                  = 1 - 9x² - 12x

ii) g(h(x))

   g(5 - x²) = 3(5 - x²) + 2

                 = 15 - 3x² + 2

                 = 17 - 3x²

iii) h(h(x))

   h(5 - x²) = 5 - (5 - x²)²

                 = 5 - (25 - 10x² + x⁴)

                 = 5 - 25 + 10x² - x⁴

                 = -20 + 10x² - x⁴

4 0
3 years ago
What number has 7 ones, 3 fewer thousands than ones, 5 fewer hundred thousands than ones, 2 more tens than hundred thousands, 2
Harman [31]

Answer:

Step by step below

Step-by-step explanation:

0 000 007

0 004  007

0 204 007

0 204  047

0 204  647

0 224 647

<u>4 224 647 </u>

5 0
2 years ago
A. When x = -1, what is the value of y?
pogonyaev

Answer:

i think we need more context to this answer.  I’d love to help no need to retype. You can just message me for help :)

Step-by-step explanation:

7 0
3 years ago
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